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[. (to points) Determine whether the following statements are one or false. Briey justify your answer. (a) A Type l linearrphase FIR lter does not

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[. (to points) Determine whether the following statements are one or false. Briey justify your answer. (a) A Type l linearrphase FIR lter does not have a mandatory zero at z = 1 and therefore is not suitable for highpass lter design. {b} A rectangular window has a larger main lobe width and higher sidelohe level than a Blackmail window (suppose both have the same window duration}. {c} For a given transfer function, there exists only a nite number of equivalent structures realizing the same transfer function. ({1} If a digital lter has a pole at z = 1, then it cannot be an FIR lter. {e} The ROC of a causal transfer function HQ} cannot be a disk, i.e., it cannot be expressed as lei 4:: n. for some non-negative constant r1. {1} For any LTI system with a rational transfer function H{z), we can always nd a minimum-phase systern Hminm that has an identical magnitude response as that of H {a}. {g} Bilinear tmnsforrn is not suitable for designing a differentiator H (61\") = jw. {h} Window-based FIR lter design is unable to provide different ripple sizes in the passband and stophand of a lter

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